Department of Mathematics - Seminar on Pure Mathematics - Extension and combinatorial configurations of hyperplane arrangements

3:00pm - 4:00pm
Room 4475 (Lifts 25/26)

We examine three types of extensions of hyperplane arrangements: elementary lift, parallel translation and adding a new hyperplane arbitrarily. The configuration spaces of elementary lift, parallel translation, and adding a new hyperplane are parametrized by continuous multi-variables. We classify the combinatorial types (finitely many) of the configuration spaces of the hyperplane arrangements for each of the three extensions and characterize their intersection lattices. Furthermore, we also describe the order-preserving relations on various combinatorial invariants of the extended hyperplane arrangements.

Event Format
Speakers / Performers:
Dr. Houshan FU
Guangzhou University
Recommended For
Faculty and staff
PG students
UG students
Department of Mathematics
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